(x-3)(x-2)=(x+2)(x+8)

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Solution for (x-3)(x-2)=(x+2)(x+8) equation: 


Simplifying
(x + -3)(x + -2) = (x + 2)(x + 8)

Reorder the terms:
(-3 + x)(x + -2) = (x + 2)(x + 8)

Reorder the terms:
(-3 + x)(-2 + x) = (x + 2)(x + 8)

Multiply (-3 + x) * (-2 + x)
(-3(-2 + x) + x(-2 + x)) = (x + 2)(x + 8)
((-2 * -3 + x * -3) + x(-2 + x)) = (x + 2)(x + 8)
((6 + -3x) + x(-2 + x)) = (x + 2)(x + 8)
(6 + -3x + (-2 * x + x * x)) = (x + 2)(x + 8)
(6 + -3x + (-2x + x2)) = (x + 2)(x + 8)

Combine like terms: -3x + -2x = -5x
(6 + -5x + x2) = (x + 2)(x + 8)

Reorder the terms:
6 + -5x + x2 = (2 + x)(x + 8)

Reorder the terms:
6 + -5x + x2 = (2 + x)(8 + x)

Multiply (2 + x) * (8 + x)
6 + -5x + x2 = (2(8 + x) + x(8 + x))
6 + -5x + x2 = ((8 * 2 + x * 2) + x(8 + x))
6 + -5x + x2 = ((16 + 2x) + x(8 + x))
6 + -5x + x2 = (16 + 2x + (8 * x + x * x))
6 + -5x + x2 = (16 + 2x + (8x + x2))

Combine like terms: 2x + 8x = 10x
6 + -5x + x2 = (16 + 10x + x2)

Add '-1x2' to each side of the equation.
6 + -5x + x2 + -1x2 = 16 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -5x + 0 = 16 + 10x + x2 + -1x2
6 + -5x = 16 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -5x = 16 + 10x + 0
6 + -5x = 16 + 10x

Solving
6 + -5x = 16 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
6 + -5x + -10x = 16 + 10x + -10x

Combine like terms: -5x + -10x = -15x
6 + -15x = 16 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -15x = 16 + 0
6 + -15x = 16

Add '-6' to each side of the equation.
6 + -6 + -15x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = 16 + -6
-15x = 16 + -6

Combine like terms: 16 + -6 = 10
-15x = 10

Divide each side by '-15'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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